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[QUOTE=Brightlin;315985][B][U]Name of the University [/U][/B]: University Of Library Cochin University of Science and Technology
[B][U]Name of the Exam [/U][/B]: Common Admission Test (CAT) 
[B][U]Document Type [/U][/B]: Sample Question Paper
[B][U]Year[/U][/B]: 2016
[B][U]Subject[/U][/B]: First Degree Programmes in Engineering & Technology

[B][U]Website [/U][/B]: [URL]http://library.cusat.ac.in/cat/[/URL]
[B][U]Download B.Tech Model/Sample Question Papers[/U][/B]:
[B][U]Mathematics, Physics, Chemistry 1 [/U][/B]: [URL]http://www.indianjobtalks.com/uploads/76233-B.TechMPC1.pdf[/URL]
[B][U]Mathematics, Physics, Chemistry 2 [/U][/B]: [URL]http://www.indianjobtalks.com/uploads/76233-B.TechMPC2.pdf[/URL]

[B][U]CAT First Degree Programmes in Engineering & Technology Question Paper [/U][/B]:
[B][U]Mathematics [/U][/B]:
1. The function f : ¡ -> ¡ defined by f(x) = x + x will be
A. many-to-one and onto
B. one-to-one and onto
C. many-to-one and into
D. one-to-one and int    o

2. If the periods of the periodic functions sin ax + cos ax and sin x + cos x are equal, then a is equal to
A. 0
B. 1
C. 2
D. 4

3.Let A, B be two n?n matrices such that BA = B2 - I + BA2 where I is the n*n identity matrix. Then
A. A is non-singular
B. B is non-singular
C. A + B is non-singular
D. AB is non-singular

4. If the system of equations x - ky + z = 0 , kx - y - z + 0 , x + y - z = 0 has a non-zero solution, then possible values of k are
A. -1, 2
B. 1, 2
C. 0, 1
D. -1, 1

5. 5 books of Mathematics and 3 books of Physics are placed on a shelf so that the books on the same subject always remain together. The possible number of arrangements are
A. 1440
B. 1956
C. 720
D. 15

6. A line is inclined at 60o with the x-axis and 45o with the y-axis. Then its inclination with z-axis is
A. 30o
B. 45o
C. 60o
D. 90o

7. The centre of the sphere (x +5)(x -5) +(y-2) (y+2)+ (z-3)+ (z + 3) = 0 is
A. (3,2,3)
B. (-2,-2,-3)
C. (0,0,0 )
D. (1,2,3)

8. The last two digits of 781 are
A. 07
B. 17
C. 37
D. 47

9. The acute angle bisector between the lines 2x - y + 4 = 0 and x + 2y -1 = 0 is
A. x + y + 5 = 0
B. x - y +1 = 0
C. x + y - 5 = 0
D. x - y +1 = 0

10. The number of digits in 217 *32 ?514 *7 is
A. 14
B. 15
C. 16
D. 17

[B][U]Physics [/U][/B]:
1. When a potential difference of 100 volts is applied between the parallel plates of a capacitor whose capacitance is 5×10–6 F, then the energy stored as electrostatic potential energy in the capacitor is
A. 0.5×10–3 J
B. 5×10–3 J
C. 25×10–3 J
D. 50×10–3 J

2. Two identical spherical balls of diameter 1 cm having charges 5?C and 3?C are brought in contact. After separation, the number of electrons on the first sphere is, 
A. 25×1012
B. 30×1012
C. 40×1012
D. 80×1012

3. The amount of work done in moving a charge of 5 C across two points having a potential difference of 15 Volts is equal to
A. 0.333 J
B. 3 J
C. 6 J
D. 75 J

4. An LED having a resistance of one kilo ohm is connected across a dry cell of 1.5 V. Then the current flowing through the LED is,
A. 0.66 mA
B. 1.0 mA
C. 1.5 mA
D. 3.0 mA

5. The potentiometer wire is made up of the material
A. copper
B. silver
C. tungsten
D. manganin

6. The temperature coefficient of resistance of a manganin wire is 0.002 per degree centigrade and its resistance is 7.6 ohm at 300K. When a potential is applied, its temperature increases to 77 ºC. Now what will be its resistance?
A. 8.36 ohm
B. 9.12 ohm
C. 9.88 ohm
D. 10.99 ohm

7. Microwave oven cooks food faster without heating the vessel since its principle is
A. radiation
B. conduction
C. convection
D. water molecules in the food serve as electric dipoles

8. A step down transformer has a total power input of 220 kW at 11000 V. What will be the input current?
A. 20 A
B. 40 A
C. 0.10 A
D. 0.05 A

9. In a solenoid having a diameter of 3 cm, length 50 cm with 1000 turns, a second layer of 100 turns is wound over the first layer. What will be mutual inductance between the coils, if the relative permeability of the core is 400?
A. 36 H
B. 0.71 mH
C. 108 mH
D. 144 mH

10. In sodium vapour lamp the difference between D1 and D2 lines is
A. 4 nm
B. 6 nm
C. 4 Å
D. 6 Å[/QUOTE]

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